Anna University, Chennai
Question : Which of the following is a public sector industry?
Option 1: Bharat Heavy Electricals Limited
Option 2: Dabur industry
Option 3: Bajaj Auto
Option 4: Tata Iron and Steel Company Limited
Correct Answer: Bharat Heavy Electricals Limited
Solution : The correct option is Bharat Heavy Electricals Limited.
BHEL (Bharat Heavy Electricals Limited) is a public-sector industry. It is a government-owned company in India that operates in the heavy electrical equipment manufacturing sector, primarily focused on power generation and transmission. It was established in 1964 and is headquartered in New Delhi. BHEL was granted Maharatna status in 2013. The other companies listed (Dabur, Bajaj Auto, and TISCO) are private-sector companies.
Question : Two circles touch each other externally. The radius of the first circle with centre O is 12 cm. Radius of the second circle with centre A is 8 cm. Find the length of their common tangent BC.
Option 1: $6 \sqrt{6} \mathrm{~cm}$
Option 2: $8 \sqrt{3} \mathrm{~cm}$
Option 3: $8 \sqrt{2} \mathrm{~cm}$
Option 4: $8 \sqrt{6} \mathrm{~cm}$
Correct Answer: $8 \sqrt{6} \mathrm{~cm}$
Solution : Given: $r{_1}=12, r{_2}=8$ Length of the direct common tangent $=\sqrt{d^2-(r{_1} -r{_2})^2}$ where $d=r{_1}+r{_2}$ $=\sqrt{(12+8)^2-(12-8)^2}$ $=\sqrt{20^2 - 4^2} = \sqrt{400-16}=\sqrt{384}=8\sqrt6$ cm Hence, the correct answer is $8 \sqrt{6} \mathrm{~cm}$.
Question : The perimeter of a triangle is 54 m and its sides are in the ratio of 5 : 6 : 7. The area of the triangle is:
Option 1: $18\ \text{m}^2$
Option 2: $54\sqrt6\ \text{m}^2$
Option 3: $27\sqrt2\ \text{m}^2$
Option 4: $25\ \text{m}^2$
Correct Answer: $54\sqrt6\ \text{m}^2$
Solution : Given: The perimeter of a triangle is 54 m and its sides are in the ratio of 5 : 6 : 7. Let the sides be 5$x$, 6$x$, and 7$x$, respectively. According to the question, 5$x$ + 6$x$ + 7$x$ = 54 ⇒ 18$x$ = 54 ⇒ $x$ = 3 So, the sides are (5 × 3), (6 × 3) and (7 × 3) i.e., 15 m, 18 m and 21 m respectively. Now, the semi perimeter = $\frac{15+18+21}{2}$ = 27 cm Therefore, the area of the triangle = $\sqrt{27(27-15)(27-18)(27-21)}$ = $\sqrt{27×12×9×6}$ = $54\sqrt{6}\ \text{m}^2$ Hence, the correct answer is $54\sqrt{6}\ \text{m}^2$.
Question : Which of the following is correct regarding the following statement? No licence was needed to _______________________.
Option 1: Set up new units
Option 2: Expand the existing line of manufacturing
Option 3: Diversify the existing line of manufacturing
Option 4: All of the above.
Correct Answer: All of the above.
Solution : No licence was needed to-
Hence Option D is correct.
Question : Choose the correctly spelt word?
Option 1: Lauriat
Option 2: Lauriate
Option 3: Laureate
Option 4: Laureat
Correct Answer: Laureate
Solution : Option 3 is the correct answer.
Laureate means a recipient of a recognition award for extraordinarily creative or intellectual work.
For Example:
She was a Nobel laureate in art.
Question : What balance does a partner's capital account have, in case of fluctuating capital?
Option 1: Debit balance
Option 2: Credit
Option 3: Both (1) or (2)
Option 4: None of these
Correct Answer: Both (1) or (2)
Solution : In case of fluctuating capital, a partner's capital account is having either a debit or credit balance. Hence, the correct option is 3.
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